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Results (4 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	Traces					A-L signs				Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	5	7	23
6440.2.a.x	$6440$	$2$	6440.a	1.a	$1$	$7$	$7$	$51.424$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-5\)	\(-7\)	\(7\)		$+$	$+$	$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{3}-q^{5}+q^{7}+(1-\beta _{1}+\cdots)q^{9}+\cdots\)
6440.2.a.y	$6440$	$2$	6440.a	1.a	$1$	$7$	$7$	$51.424$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(-1\)	\(-7\)	\(-7\)		$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}-q^{5}-q^{7}+\beta _{2}q^{9}+(-1+\cdots)q^{11}+\cdots\)
6440.2.a.z	$6440$	$2$	6440.a	1.a	$1$	$7$	$7$	$51.424$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(-7\)	\(7\)		$-$	$+$	$-$	$+$	$+$	$2^{3}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}-q^{5}+q^{7}+(1+\beta _{2})q^{9}+(-\beta _{1}+\cdots)q^{11}+\cdots\)
6440.2.a.ba	$6440$	$2$	6440.a	1.a	$1$	$7$	$7$	$51.424$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(3\)	\(7\)	\(7\)		$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+q^{5}+q^{7}+(3+\beta _{2})q^{9}+\beta _{4}q^{11}+\cdots\)